Finding the Fourth Proportional to 2,561.04, 3,841.72 and 1,022

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.04 : 3,841.72 = 1,022 : x
2. Step 2: Convert to fraction form
   2,561.04/3,841.72 = 1,022/x
3. Step 3: Cross multiply
   2,561.04x = 3,841.72 × 1,022
4. Step 4: Simplify right side
   2,561.04x = 3,926,237.84
5. Step 5: Solve for x
   x = 3,926,237.84/2,561.04
6. Step 6: Final answer
   x = 1,533.06